By definition of \(\mathcal {H}_{L,{\bf z}}^*\) ,
we then deduce from [1]} that
\(\log \mathcal {N}_{\varepsilon /(8M+8cM)}\left(\mathcal {H}_{L,{\bf z}}^*,C(\mathbf {B}^d)\right)\le C n^d\log \left(\frac{32M+32cM}{\varepsilon }\right).\) 
